C 距离空间中非线性收缩的一些多维定点定理及其应用

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-01-30 DOI:10.1186/s13660-024-03079-4

Maliha Rashid, Naeem Saleem, Rabia Bibi, Reny George

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引用次数: 0

摘要

在本手稿中，我们使用了广义空间中多维定点的概念，即带有一些非线性收缩条件（如 Jaggi- 和 Dass-Gupta 型收缩）的 C-距离空间。我们为上述空间提供了 Jaggi- 型混合收缩的结果。此外，我们还使用控制函数来获得所需的结果。在每条定理之后，我们都会将我们的结果与之前的结果进行比较，以证明这些结果是通用的。我们提供了一些例子来支持我们的结果。此外，我们还将应用这些定理求解积分方程组。

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Some multidimensional fixed point theorems for nonlinear contractions in C-distance spaces with applications

In this manuscript, we use the concept of multidimensional fixed point in a generalized space, namely, C-distance space with some nonlinear contraction conditions, such as Jaggi- and Dass-Gupta-type contractions. We provide results with a Jaggi-type hybrid contraction for the mentioned space. Moreover, we use control functions to get the desired results. After each theorem, we compare our results with previous ones to show that they are generalized. We provide examples to support our results. An application is also performed to solve the system of integral equations.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.